Both managers, the Dodgers' Don Mattingly and the Diamondbacks' Kirk Gibson, received one game and Dodgers hitting coach Mark McGwire received two games.

Fines also were issued to Dodgers starter Zack Greinke and outfielder Yasiel Puig, Diamondbacks catcher Miguel Montero and outfielder Gerardo Parra for their roles in the brawl.

But the fines and suspensions hardly brought a sense of resolution to the matter.

"If one person is upset," Greinke said of the remaining nine meetings between the Dodgers and Diamondbacks this season, "it could start the whole thing over again."

Added reliever Belisario, who will not appeal and serve his suspension Friday night: "Everyone knows it's not over."

Kennedy hit Greinke in the seventh inning after warnings had already been issued. He had hit Dodgers rookie Puig with a pitch that brushed his nose earlier in the sixth inning. Greinke retaliated in the bottom of the sixth by hitting Montero.

The last pitcher to get a 10-game suspension was Runelvys Hernandez in 2005.

Mattingly will serve his suspension Friday night against the Pittsburgh Pirates and Gibson during the Diamondbacks' game against the San Diego Padres.

All players can appeal the suspensions and fines; Howell indicated that he would.